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Finding the Fourth Proportional to 8,537.86, 12,804.81 and 3,270.99

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Solution

The fourth proportional to 8,537.86, 12,804.81 and 3,270.99 is: 4,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.86 : 12,804.81 = 3,270.99 : x
  2. Step 2: Convert to fraction form
    8,537.86/12,804.81 = 3,270.99/x
  3. Step 3: Cross multiply
    8,537.86x = 12,804.81 × 3,270.99
  4. Step 4: Simplify right side
    8,537.86x = 41,884,405.46
  5. Step 5: Solve for x
    x = 41,884,405.46/8,537.86
  6. Step 6: Final answer
    x = 4,905.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.